## January 28, 2015

### 7 Gold Rings Puzzle

You arrive at a hotel and have 3 sets of golden rings. The first set of rings has 4 rings, the second set has 2 rings and the third only has one ring. You cannot take these sets of rings part, You cannot exchange them for a different form of currency, and the hotel clerk has no change. You want to stay at the hotel for 7 nights, and you have to pay one gold ring for each night that you stay. You cannot pay in advance, or all at once at the end of your stay. How do you pay for your 7 nights at the hotel?

Asim Nazir said...

Night 1 = Give 1 Gold Ring
Night 2 = Give 2 Gold Rings and Take back 1 Gold Ring
Night 3 = Give 1 Gold Ring
Night 4 = Give 4 Rings and Take back 1 and 2 Gold Rings
Night 5 = Give 1 Gold Ring
Night 6 = Give 2 Gold Rings and Take back 1 Gold Ring
Night 7 = Give 1 Gold Ring

JyRKS said...

1st day:
Pay with the 1 ring. Leaving you with 2 and 4 rings.

The hotel keeper didn't have change, but he has now.

2nd day:
Pay with 2 rings and get 1 ring back.

3rd day:
Pay with 1 ring.

4th day:
Pay with 4 rings and get 2 rings and 1 ring back.

5th day:
Pay with 1 ring.

6th day:
Pay with 2 rings and get 1 back.

7th day:
Pay with 1 ring.

This way you will have paid 1 ring every day and the hotel keeper now has 7 rings.

Anonymous said...

Although the clerk has no change, he will have your payments from previous days to use as change.

So:

Day 1: Give Chain of one ring
Days 2: Give Chain of two rings, get chain of one ring back in change.
Day 3: Give Chain of one ring
Day 4: Give Chain of four rings, get chain of two rings and chain of one ring back.
Day 5: Give Chain of one ring
Day 6: Give Chain of two rings and get chain of one ring back.
Day 7: Give Chain of one ring.

Big_Lar

Shrikant Eklahare said...

ist day- Give single ring
2nd Day-Give set of two rings and take single ring back.
3rd day-Give single ring once again.
4th day-give set of four rings and take the three rings back(2+1)
5th day-Give again single ring.
6th day-give set of two rings and take single ring back.
7th day-Give single ring.

Vicki Jopson said...

With the Gold Rings